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Quantum Fisher Information (QFI) is a fundamental quantity in quantum parameter estimation theory, characterizing the ultimate precision bound of parameter estimation. In this work, we investigate QFI for quantum states in non-Hermitian…

Quantum Physics · Physics 2025-05-27 L. H. Wei , H. J. Xing , L. B. Fu , H. D. Liu

Quantum Fisher information matrix (QFIM) is a core concept in theoretical quantum metrology due to the significant importance of quantum Cram\'{e}r-Rao bound in quantum parameter estimation. However, studies in recent years have revealed…

Quantum Physics · Physics 2020-03-27 Jing Liu , Haidong Yuan , Xiao-Ming Lu , Xiaoguang Wang

We derive a modified master equation for the quantum Rabi model in the parameter regime where quantum criticality can occur. The modified master equation can avoid some unphysical predictions, such as excitations in the system at zero…

Quantum Physics · Physics 2024-11-07 Ye-Hong Chen , Zhi-Cheng Shi , Yu-Ran Zhang , Franco Nori , Yan Xia

We propose a quantum sensing scheme for measuring weak forces based on a symmetry-breaking adiabatic transition in the quantum Rabi model. We show that the system described by the Rabi Hamiltonian can serve as a sensor for extremely weak…

Quantum Physics · Physics 2015-11-25 Peter A. Ivanov , Kilian Singer , Nikolay V. Vitanov , Diego Porras

As the simplest and most fundamental model describing the interaction between light and matter, a breakdown in the rotating wave approximation of the Rabi model leads to phase transition versus coupling strength when the frequency of the…

Quantum Physics · Physics 2023-10-17 M. Li , Y. N. Wang , Z. Y. Song , Y. M. Zhao , X. L. Zhao , H. Y. Ma

We study quantum criticality in the infinite range Transverse-Field Ising Model. We find subtle differences with respect to the well-known single-site mean-field theory, especially in terms of gap, entanglement and quantum criticality. The…

Strongly Correlated Electrons · Physics 2024-08-28 Nicholas Curro , Kaeshav Danesh , Rajiv R. P. Singh

In estimating an unknown parameter of a quantum state the quantum Fisher information (QFI) is a pivotal quantity, which depends on the state and its derivate with respect to the unknown parameter. We prove the continuity property for the…

Quantum Physics · Physics 2019-09-16 A. T. Rezakhani , M. Hassani , S. Alipour

The main power of quantum sensors is achieved when the probe is composed of several particles. In this situation, quantum features such as entanglement contribute to enhancing the precision of quantum sensors beyond the capacity of…

The Quantum Fisher information (QFI) quantifies the ultimate precision of estimating a parameter from a quantum state, and can be regarded as a reliability measure of a quantum system as a quantum sensor. However, estimation of the QFI for…

Quantum Physics · Physics 2022-02-03 Jacob L. Beckey , M. Cerezo , Akira Sone , Patrick J. Coles

Quantum phase transitions are a fascinating area of condensed matter physics. The extension through complexification not only broadens the scope of this field but also offers a new framework for understanding criticality and its statistical…

Strongly Correlated Electrons · Physics 2025-01-17 Yang Liu , Erhai Zhao , Haiyuan Zou

Quantum phase transitions have been shown to be highly beneficial for quantum sensing, owing to diverging quantum Fisher information close to criticality. In this work we consider a periodically modulated Lipkin-Meshkov-Glick model to show…

Quantum Physics · Physics 2026-05-19 Rahul Ghosh , Bandita Das , Victor Mukherjee

Evolution of quantum fidelity for two-level systems is studied in the context of periodic echo. From a general treatment for time independent case, we obtain a simple condition on the governing Hamiltonians under which the systems display…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 R. Sankaranarayanan , Jane H. Sheeba , M. Lakshmanan

We propose a dynamic quantum sensing scheme by using a quantum many-spin system composed of a central spin interacting with many surrounding spins. Starting from a generalized Ising ring model, we investigate the error propagation formula…

Quantum Physics · Physics 2022-07-20 Wenkui Ding , Yanxia Liu , Zhenyu Zheng , Shu Chen

We consider the dynamics of maximal quantum Fisher information (MQFI) after sudden quenches for the one-dimensional transverse-field Ising model. Our results show, the same as Loschmidt echo, there is a universality for the revival times…

Quantum Physics · Physics 2020-11-17 Hadi Cheraghi , Saeed Mahdavifar

The quantum Fisher information (QFI) represents a fundamental concept in quantum physics. On the one hand, it quantifies the metrological potential of quantum states in quantum-parameter-estimation measurements. On the other hand, it is…

A well-studied scenario in quantum parameter estimation theory arises when the parameter to be estimated is imprinted on the initial state by a Hamiltonian of the form $\theta G$. For such "phase shift Hamiltonians" it has been shown that…

Quantum Physics · Physics 2017-07-05 Julien Mathieu Elias Fraisse , Daniel Braun

We address quantum critical systems as a resource in quantum estimation and derive the ultimate quantum limits to the precision of any estimator of the coupling parameters. In particular, if L denotes the size of a system and \lambda is the…

Quantum Physics · Physics 2009-11-13 Paolo Zanardi , Matteo G A Paris , Lorenzo Campos Venuti

Promising applications of the anisotropic quantum Rabi model (AQRM) in broad parameter ranges are explored, which is realized with superconducting flux qubits simultaneously driven by two-tone time-dependent magnetic fields. Regarding the…

Quantum Physics · Physics 2018-06-01 Yimin Wang , Wen-Long You , Maoxin Liu , Yu-Li Dong , Hong-Gang Luo , G. Romero , J. Q. You

We study the time-dependent quantum Fisher information (QFI) in an open quantum system satisfying the Gorini-Kossakowski-Sudarshan-Lindblad master equation. We also study the dynamics of the system from an effective non-Hermitian dynamics…

Quantum Physics · Physics 2023-06-12 Zain H. Saleem , Anil Shaji , Stephen K. Gray

Entanglement plays a central role in our understanding of quantum many body physics, and is fundamental in characterising quantum phases and quantum phase transitions. Developing protocols to detect and quantify entanglement of…

Quantum Physics · Physics 2017-03-28 Philipp Hauke , Markus Heyl , Luca Tagliacozzo , Peter Zoller